reserve A,B for Ordinal,
        o for object,
        x,y,z for Surreal,
        n for Nat,
        r,r1,r2 for Real;

theorem  Th47:
  |.y.| infinitely< |.x.| implies not x ==0_No
proof
  assume
A1: |.y.| infinitely< |.x.|;
  |.x.| = x or |.x.|= -x by Def6;
  hence thesis by SURREALR:24,A1,Th46;
end;
